determine if the 2 triangles are similar or not. if they are similar choose the correct similarity theorem below.
A
B
C
D

The height of the pole, to the nearest tenth of a foot is given by: Option B: 6.7 feet

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

Remember that we assume that pole is vertical to the ground. This means, there is 90° formation. The length of the rope can be taken as length of hypotenuse.

Referring to the attached figure below, we get:

Using the tangent ratio, we get:

[tex]\sin(x) = \dfrac{\text{Length of perpendicular}}{\text{Length of hypotenuse}} = \dfrac{|AB|}{|AC|}\\\\|AB| = \sin(x) \times |AC|\\\\|AB| = \sin(57^\circ) \times 8 \approx 6.71 \approx 6.7\: \rm feet[/tex]

Thus, the length of the pole is approx 6.7 feet (option B).

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Answer:

20.75+43.58+30.45+29.72= 124.5

328.15-124.5=

Answer:

198

Step-by-step explanation:

Answer:

Step-by-step explanation:

HII do the parentheses first then carry on if you need more help i suggest you go to caculatorsoup  and search mixed number caculator and it should help u its a web

Step-by-step explanation:

2(3x+4)=56

<=> 6x+8=56

<=> 6x=48

<=> x=8

Answer:

Step-by-step explanation:

85 + 50 + ? = 180

? = 180 - 85 - 50

? = 45

Answer: Refer to the diagram below

================================================

Explanation:

The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.

The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.

Answer:

If we draw the line of y=2 and if we find the reflections we have the new points of...

Now all we have to do it plot these points, and then we have the triangle PQR

Answer:

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12[/tex]

[tex]\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2[/tex]

[tex]\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}[/tex]

[tex]6x+2y=-2[/tex]

[tex]-[/tex]

[tex]\underline{6x-3y=-12}[/tex]

[tex]5y=10[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}[/tex]

solving 5y = 10 for y

[tex]5y=10[/tex]

Divide both sides by 5

[tex]\frac{5y}{5}=\frac{10}{5}[/tex]

simplify

[tex]y=2[/tex]

[tex]\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2[/tex]

[tex]6x-3\cdot \:2=-12[/tex]

[tex]6x-6=-12[/tex]

Adding 6 to both sides

[tex]6x-6+6=-12+6[/tex]

[tex]6x=-6[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}=\frac{-6}{6}[/tex]

[tex]x=-1[/tex]

Therefore, the solution to the system of equations be:

[tex]x=-1,\:y=2[/tex]

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Answer:

1-12

Step-by-step explanation:

1. left  2. right  3. equal  4. left  5. left  6. equal

sry i was running out of time.

Answer: There are 990 croissants

Step-by-step explanation:

If 45% of them are pretzels then 55% of the pastries hs to be croissants.

Multiply 55% by the total number of pastries to find the number of croissants.

55% * 1,800 =  990

Answer:

12 cm

Step-by-step explanation:

Base area

14 x 7 = 98 cm²

The volume of pyramid

392= 1/3 x height x base area

Height =12 cm

Answer:

He sold 17 shirts at the festival.

The total number of t-shirts Felipe sold is 17 t-shirts.

Consider that the number of t-shirts Felipe sold be "x".

Since He made a profit of $5 for each t-shirt sold. Therefore, his profit from selling t-shirts is 5x. also made a profit of $40 from selling hats.

His total profit is given as $125.

So we can write the following equation:

5x + 40 = 125

Subtracting 40 from both sides;

5x = 85

Dividing both sides by 5, we get:

x = 17

Therefore, Felipe sold 17 t-shirts.

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Answer:

Hello There!!

Step-by-step explanation:

The answer is 13% as you convert 2 3/5 to an improper fraction which is 13/5. Convert this into a decimal which is 2.6 . 2.6 ÷20=0.13 ×100 (to get it as a fraction) which equals 13%.

hope this helps,have a great day!!

~Pinky~

2 3/5 is equal to 13% of 20 by express the mixed number as an improper fraction and converting it into percentage.

To convert 2 3/5 to a percentage of 20,

Next, convert the improper fraction 13/5 to a decimal by dividing the numerator (13) by the denominator (5).

This gives us 2.6.

Express the decimal as a percentage, multiply by 100.

2.6 x 100 = 260%

This results in 260%. However, since 260% is larger than 100%,

Find the percentage of 260% by 20.

260%÷20

On dividing by 10 gives:

=26/2

On dividing by 2gives:

=13%

In conclusion, 2 3/5 is equal to 13% of 20.

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Answer:

Step-by-step explanation:

60 divided by c-n=how many you have left

Answer:

n = A/P - 1

Step-by-step explanation:

1st step: subtract P from each side to get A/P = 1+n

2nd step: subtract 1 from each side to get the answer above

Answer: I got no clue brother.

Step-by-step explanation: Brother

Answer:

12 pages

Step-by-step explanation:

This is a fairly straight forward question.

Sam read 6 pages in 18 minutes, and we want to know how many pages he could have finished if he read for 36 minutes.

36 minutes is double the time of 18 minutes.

So we just have to double the 6 pages Sam read into 12 pages and that is the answer.

4/14 is equivalent. This was found by multiplying both the numerator and denominator by 2.

Answer:

C  HOPE THIS HELPS MARK BRain leist

Step-by-step explanation:

Answer:

[tex]m=0[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the slope of the line

From the attachment, we have the following points

[tex](x_1,y_1) = (-4,1)[/tex]

and

[tex](x_2,y_2) = (3,1)[/tex]

The slope m is then calculated using:

[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]

Substitute values for the x's and y's

[tex]m = \frac{1-1}{3 - (-4)}[/tex]

[tex]m = \frac{1-1}{3 +4}[/tex]

[tex]m = \frac{0}{7}[/tex]

[tex]m=0[/tex]

Hence, the slope is 0

Answer:

Aaron rolled a fair six-sided number cube, numbered 1 through 6 is explained below in details.

Step-by-step explanation:

a. FALSE

Trial possibility of rolling a 6 =1/20 = 0.05

Logical possibility of rolling a 6 = 1/6 = 0.17(approximately.)

So the trial possibility of rolling a 6 is not equal to the logical possibility of rolling a 6.

b. FALSE

Trial possibility of rolling an even number = Trial possibility of rolling number 2,4 or 6 = 4/20+2/20+1/20= 7/20 = 0.35

Logical possibility of rolling an even number = 3/6 = 1/2=0.5

Therefore the Test possibility of rolling an even number is shorter than the logical possibility of the same.

c. TRUE

Trial possibility of rolling a 1= 6/20= 0.3

Logical possibility of rolling a 1= 1/6 = 0.17 (approx.)

So the Trial possibility of rolling a 1 is greater than the logical possibility of rolling a 1.

d. FALSE.

Trial possibility of rolling a 4= 2/20= 0.1

Logical possibility of rolling a 4 = 1/6 = 0.17 (approx.)

So the Trial possibility of rolling a 4 is less than the logical possibility of rolling a 4.

Answer:

15 i think 15 or 9 is the answer

Answer:

5 times

Step-by-step explanation:

Because he enters through the front door.

Answer:

$42

Step-by-step explanation:

Given that,

Galore Super Store buys the latest video game at a wholesale price of $30.00.

The markup rate at Game's Galore Super Store is 40%.

We need to find the price from the store. It can be calculated as follows :

[tex]C=30+\dfrac{40}{100}\times 30\\\\=30+12\\\\=\$42[/tex]

Hence, we will pay $42.

Answer:

its 31.75

Step-by-step explanation:

12.5 inch = 31.75 cm

Answer: B

Step-by-step explanation:

1/9(3)^x

(3)^(5) = 243

243(1/9) = 27

Hope this helps :)

Answer:

D) is the answer

Step-by-step explanation:

It is taught in 5th class in India

Mark as Brainliest.

Because I am Indian and solving your question from India.

The correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that:-

f(x) = 2x³ + 6x² – 5x – 3

g(x) = 3x – 4

The function (f-g)x will be calculated as follows:-

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( 2x³ + 6x² – 5x – 3 )  - ( 3x – 4 )

(f - g)(x) =  2x³ + 6x² – 5x – 3 - 3x + 4

(f - g)(x) =   2x³ + 6x² – 8x + 1

Therefore the correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

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Answer:

18 miles / hour